Impact factor of Chinese Physics C is 3.6 in 2023 Impact factor of Chinese Physics C is 3.6 in 2022 2021 Impact Factor 2.944
Advanced Search
×
近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。
本刊再次郑重声明：
（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137
（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。
（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。
                  
《中国物理C》（英文）编辑部
2024年10月30日
Chinese Physics C> 2017, Vol. 41> Issue(4) : 044104 DOI: 10.1088/1674-1137/41/4/044104

Exploration of resonances by using complex momentum representation

  • 1.

     School of Physics and Materials Science, Anhui University, Hefei 230601, China

  • Resonance research is a hot topic in nuclear physics, and many methods have been developed for resonances. In this paper, we explore resonances by solving the Schrödinger equation in complex momentum representation, in which the bound states and resonant states are separated completely from the continuum and exposed clearly in the complex momentum plane. We have checked the convergence of the calculations on the grid numbers of the Gauss-Hermite quadrature and the Gauss-Legendre quadrature, and the dependence on the contour of momentum integration. Satisfactory results are obtained. 17O is chosen as an example, and we have calculated the bound and resonant states to be in excellent agreement with those calculated in the coordinate representation.
      PCAS:
  • 加载中

  • References

    [1] Wikipedia, https://en.wikipedia.org/wiki/Resonance
    [2] J. Meng and P. Ring, Rev. Lett., 77:3963 (1996)
    [3] W. Pschl, D. Vretenar, G.A. Lalaziss, and P. Ring, Phys. Rev. Lett., 79:3841 (1997)
    [4] N. Sandulescu, N. Van Giai, and R.J. Liotta, Phys. Rev. C, 61:061301 (2000)
    [5] J. Meng and P. Ring, Phys. Rev. Lett., 80:460 (1998)
    [6] Y. Zhang, M. Matsuo, and J. Meng, Phys. Rev. C, 86:054318 (2012)
    [7] S. G. Zhou, J. Meng, P. Ring, and E. G. Zhao, Phys. Rev. C, 82:011301 (2010)
    [8] A. S. Jensen, K. Riisager, D. V. Fedorov, and E. Garrido, Rev. Mod. Phys., 76:215 (2004)
    [9] E. P. Wigner and L. Eisenbud, Phys. Rev., 72:29 (1947)
    [10] A. U. Hazi and H. S. Taylor, Phys. Rev. A, 1:1109 (1970)
    [11] J. R. Taylor, Scattering Theory:The Quantum Theory on Nonrelativistic Collisions (John Wiley Sons, New York, 1972)
    [12] E. J. Heller and H. A. Yamani, Phys. Rev. A, 9, 1201 (1974); E. J. Heller and H. A. Yamani, ibid. 9:1209 (1974)
    [13] V. I. Kukulin, V. M. Krasnopl'sky, and J. Horček, Theory of Resonances:Principles and Applications (Kluwer, Dordrecht, 1989)
    [14] J. Humblet, B. W. Filippone, and S. E. Koonin, Phys. Rev. C, 44:2530 (1991)
    [15] B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. Lett., 109:072501 (2012)
    [16] B. N. Lu, E. G. Zhao, and S. G. Zhou, Phys. Rev. C, 88:024323 (2013)
    [17] E. N. Economou, Green's Function in Quantum Physics (Springer-Verlag, Berlin, 2006)
    [18] T. T. Sun, S. Q. Zhang, Y. Zhang, J. N. Hu, and J. Meng, Phys. Rev. C, 90:054321 (2014)
    [19] J. Aguilar and J. M. Combes, Commun. Math. Phys., 22:269 (1971); E. Balslev and J.M. Combes, Commun. Math. Phys., 22:280 (1971); B. Simon, Commun. Math. Phys, 27:1 (1972)
    [20] K. Arai, Phys. Rev. C, 74:064311 (2006)
    [21] N. Michel, W. Nazarewicz, M. Ploszajczak, and T. Vertse, J. Phys. G:Nucl. Part. Phys., 36:013101 (2009)
    [22] N. Michel, K. Matsuyanagi, and M. Stoitsov, Phys. Rev. C, 78:044319 (2008)
    [23] A. T. Kruppa, G. Papadimitriou, W. Nazarewicz, and N. Michel, Phys. Rev. C, 89:014330 (2014)
    [24] A. T. Kruppa, P. H. Heenen, H. Flocard, and R. J. Liotta, Phys. Rev. Lett., 79:2217 (1997)
    [25] N. Moiseyev, Phys. Rep., 302:212 (1998)
    [26] T. Myo, Y. Kikuchi, H. Masui, and K. KatŌ, Prog. Part. Nucl. Phys., 79:1 (2014)
    [27] J. Carbonell, A. Deltuva, A.C. Fonseca, and R. Lazauskas, Prog. Part. Nucl. Phys., 74:55 (2014)
    [28] J. Y. Guo, M. Yu, J. Wang, B. M. Yao, and P. Jiao, Comput. Phys. Commun., 181:550 (2010)
    [29] J. Y. Guo, X. Z. Fang, P. Jiao, J. Wang, and B. M. Yao, Phys. Rev. C, 82:034318 (2010)
    [30] Z. L. Zhu, Z. M. Niu, D. P. Li, Q. Liu, and J. Y. Guo, Phys. Rev. C, 89:034307 (2014)
    [31] M. Shi, Q. Liu, Z. M. Niu, and J. Y. Guo, Phys. Rev. C, 90:034319 (2014)
    [32] Q. Liu, J. Y. Guo, Z. M. Niu, and S. W. Wan, Phys. Rev. C, 86:054312 (2012)
    [33] L. Zhang, S. G. Zhou, J. Meng, and E. G. Zhou, Phys. Rev. C, 77:014312 (2008)
    [34] T. Berggren, Nucl. Phys. A, 109:265 (1968)
    [35] G. Hagen and J. S. Vaagen, Phys. Rev. C, 73:034321 (2006)
    [36] A. Deltuva, Few-Body Syst., 56:897 (2015)
    [37] C. V. Sukumar, J. Phys. A, 12:1715 (1979)
    [38] Y. R. Kwon and F. Tabakin, Phys. Rev., 18:932 (1978)
    [39] R. J. Liotta, E. Maglione, N. Sandulescu, T. Vertse, Phys. Lett. B, 367:1 (1996)
    [40] N. Michel, W. Nazarewicz, M. Ploszajczak, and K. Bennaceur Phys. Rev. Lett., 89:042502 (2002)
    [41] Niu Li, Min Shi, Jian-You Guo, Zhong-Ming Niu, and Haozhao Liang, Phys. Rev. Lett., 117:062502 (2016)
    [42] I. Hamamoto, Phys. Rev. C, 85:064329 (2012)
    [43] A. Bohr and B. R. Mottelson, Nuclear Structure (Benjamin, Reading, MA, 1969), Vol. I

  • Access

    加载中

Get Citation
Ya-Juan Tian, Tai-Hua Heng, Zhong-Ming Niu, Quan Liu and Jian-You Guo. Exploration of resonances by using complex momentum representation[J]. Chinese Physics C, 2017, 41(4): 044104. doi: 10.1088/1674-1137/41/4/044104
Ya-Juan Tian, Tai-Hua Heng, Zhong-Ming Niu, Quan Liu and Jian-You Guo. Exploration of resonances by using complex momentum representation[J]. Chinese Physics C, 2017, 41(4): 044104.  doi: 10.1088/1674-1137/41/4/044104 shu
Milestone
Received: 2016-09-29
Fund

    Supported by National Natural Science Foundation of China (11575002, 11175001, 11205004, 11305002), Program for New Century Excellent Talents at the University of China (NCET-05-0558), Natural Science Foundation of Anhui Province (1408085QA21), Key Research Foundation of Education Ministry of Anhui Province of China (KJ2016A026), and 211 Project of Anhui University

Article Metric

Article Views(1489)
PDF Downloads(58)
Cited by(0)
Policy on re-use
To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.
通讯作者: 陈斌, bchen63@163.com
  • 1. 

    沈阳化工大学材料科学与工程学院 沈阳 110142

  1. 本站搜索
  2. 百度学术搜索
  3. 万方数据库搜索
  4. CNKI搜索

Email This Article

Title:
Email:

Exploration of resonances by using complex momentum representation

    Corresponding author: Jian-You Guo,
  • 1. School of Physics and Materials Science, Anhui University, Hefei 230601, China
  • Received Date: 2016-09-29
  • Available Online: 2017-04-05
Fund Project:  Supported by National Natural Science Foundation of China (11575002, 11175001, 11205004, 11305002), Program for New Century Excellent Talents at the University of China (NCET-05-0558), Natural Science Foundation of Anhui Province (1408085QA21), Key Research Foundation of Education Ministry of Anhui Province of China (KJ2016A026), and 211 Project of Anhui University

Abstract: Resonance research is a hot topic in nuclear physics, and many methods have been developed for resonances. In this paper, we explore resonances by solving the Schrödinger equation in complex momentum representation, in which the bound states and resonant states are separated completely from the continuum and exposed clearly in the complex momentum plane. We have checked the convergence of the calculations on the grid numbers of the Gauss-Hermite quadrature and the Gauss-Legendre quadrature, and the dependence on the contour of momentum integration. Satisfactory results are obtained. 17O is chosen as an example, and we have calculated the bound and resonant states to be in excellent agreement with those calculated in the coordinate representation.

    HTML

Reference (43)

目录

Link
IOPScience
SCOAP3
arXiv
Chinese Physical Society
Journal information
Introduction
Editorial Board
Others
Subscribe
Contact us
QQ: 1307685413
Tel: +86-010-88235947
Fax: +86-010-88233126
E-mail: cpc@ihep.ac.cn

  • CPC Website

  • IOP Website

  • CPC WeChat

Copyright © Institute of High Energy Physics, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, China 京ICP备05002789号-1

Supported by: Beijing Renhe Information Technology Co. Ltd  E-mail: info@rhhz.net

/

DownLoad:  Full-Size Img  PowerPoint
Return
Return